Hypo-q-norms on cartesian products of algebras of bounded linear operators on Hilbert spaces
Keywords:
Hilbert spaces, bounded linear operators, operator norm and numerical radius, n-tuple of operators, operator inequalities.Abstract
Abstract: In this paper we introduce the hypo-q-norms on a Cartesian product of algebras of bounded linear operators on Hilbert spaces. A representation of these norms in terms of inner products, the equivalence with the q-norms on a Cartesian product and some reverse inequalities obtained via the
scalar reverses of Cauchy-Buniakowski-Schwarz inequality are also given. Several bounds for the norms δp , θp and the real norms ηr,p and θr,p are provided as well.
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